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Simplifying 7z + 9 = 16z + -10 Reorder the terms: 9 + 7z = 16z + -10 Reorder the terms: 9 + 7z = -10 + 16z Solving 9 + 7z = -10 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 9 + 7z + -16z = -10 + 16z + -16z Combine like terms: 7z + -16z = -9z 9 + -9z = -10 + 16z + -16z Combine like terms: 16z + -16z = 0 9 + -9z = -10 + 0 9 + -9z = -10 Add '-9' to each side of the equation. 9 + -9 + -9z = -10 + -9 Combine like terms: 9 + -9 = 0 0 + -9z = -10 + -9 -9z = -10 + -9 Combine like terms: -10 + -9 = -19 -9z = -19 Divide each side by '-9'. z = 2.111111111 Simplifying z = 2.111111111
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